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Finding the Fourth Proportional to 9,749.84, 13,440.40 and 6,908.42

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Solution

The fourth proportional to 9,749.84, 13,440.40 and 6,908.42 is: 9,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.84 : 13,440.40 = 6,908.42 : x
  2. Step 2: Convert to fraction form
    9,749.84/13,440.40 = 6,908.42/x
  3. Step 3: Cross multiply
    9,749.84x = 13,440.40 × 6,908.42
  4. Step 4: Simplify right side
    9,749.84x = 92,851,944.50
  5. Step 5: Solve for x
    x = 92,851,944.50/9,749.84
  6. Step 6: Final answer
    x = 9,523.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.